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Finding the Third Proportional to 148,970 and 340,346

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Solution

The third proportional to 148,970 and 340,346 is: 777,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,970 : 340,346 = 340,346 : x
  2. Step 2: Convert to fraction form
    148,970/340,346 = 340,346/x
  3. Step 3: Cross multiply
    148,970x = 340,346 × 340,346
  4. Step 4: Simplify right side
    148,970x = 115,835,399,716
  5. Step 5: Solve for x
    x = 115,835,399,716/148,970
  6. Step 6: Final answer
    x = 777,575.35

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.